Constituent mass predictions for axial vector (i.e., $J^P=1^{+}$) $cc$ and $bb$ color-antitriplet diquarks are generated using QCD Laplace sum rules. We calculate the diquark correlator within the operator product expansion to next-to-leading order, including terms proportional to the four- and six-dimensional gluon and six-dimensional quark condensates. The sum-rule analyses stabilize, and we find that the constituent mass of the $cc$ diquark is $(3.51\pm 0.35)\mathrm{GeV}$ and the constituent mass of the $bb$ diquark is $(8.67\pm 0.69)\mathrm{GeV}$. Using these diquark constituent masses as inputs, we calculate several tetraquark masses within the type-II diquark-antidiquark tetraquark model.

• Received 6 August 2019

DOI:https://doi.org/10.1103/PhysRevD.100.074025

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Published by the American Physical Society